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1321442123100 = 2235211480183407
BaseRepresentation
bin10011001110101100000…
…101101001110101011100
311200022212120111011110120
4103032230011221311130
5133122303140414400
62451021230434540
7164320365500661
oct23165405516534
94608776434416
101321442123100
1146a4696a0690
12194130362a50
13977c44ab848
1447d5b1c9a68
15245915a6ca0
hex133ac169d5c

1321442123100 has 144 divisors (see below), whose sum is σ = 4171870649856. Its totient is φ = 320279040000.

The previous prime is 1321442123059. The next prime is 1321442123129. The reversal of 1321442123100 is 13212441231.

It is a super-2 number, since 2×13214421231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15801597 + ... + 15885003.

Almost surely, 21321442123100 is an apocalyptic number.

1321442123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321442123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085935324928).

1321442123100 is an abundant number, since it is smaller than the sum of its proper divisors (2850428526756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1321442123100 is a wasteful number, since it uses less digits than its factorization.

1321442123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88236 (or 88229 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1321442123100 its reverse (13212441231), we get a palindrome (1334654564331).

The spelling of 1321442123100 in words is "one trillion, three hundred twenty-one billion, four hundred forty-two million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4801 9602 14403 19204 24005 28806 48010 52811 57612 72015 83407 96020 105622 120025 144030 158433 166814 211244 240050 250221 264055 288060 316866 333628 360075 417035 480100 500442 528110 633732 720150 792165 834070 917477 1000884 1056220 1251105 1320275 1440300 1584330 1668140 1834954 2085175 2502210 2640550 2752431 3168660 3669908 3960825 4170350 4587385 5004420 5281100 5504862 6255525 7921650 8340700 9174770 11009724 12511050 13762155 15843300 18349540 22936925 25022100 27524310 45873850 55048620 68810775 91747700 137621550 275243100 400437007 800874014 1201311021 1601748028 2002185035 2402622042 4004370070 4404807077 4805244084 6006555105 8008740140 8809614154 10010925175 12013110210 13214421231 17619228308 20021850350 22024035385 24026220420 26428842462 30032775525 40043700700 44048070770 52857684924 60065551050 66072106155 88096141540 110120176925 120131102100 132144212310 220240353850 264288424620 330360530775 440480707700 660721061550 1321442123100